An Introduction to Practical Mathematics

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Longmans, Green, 1910 - Mathematics - 220 pages
 

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Page 165 - Add together the first and last ordinates, twice the sum of the other odd ordinates, and four times the sum of the even ordinates ; multiply the result by one-third of the distance between two adjacent ordinates.
Page 127 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 48 - The square of the sum of two quantities, is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 19 - ... and the greater the gain of the dial upon the hand. The wheels of both dial and hand are constantly revolving in the direction opposite to that of the' motion of the hands of a watch. The belt of the hand-wheel runs always upon the rod, where its diameter is constant, and as the rod moves laterally under the little belts, guides are necessary to keep the belts themselves from moving laterally also. The proportions of the cones on the rod, and of the two wheels which carry...
Page 110 - A rectangular sheet of metal has four equal square portions removed at the corners, and the sides are then turned up so as to form an open rectangular box.
Page 30 - The area of the surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 167 - Cows. 6 , 6'-7 6J-7j 8 8-10 5}-7 is made, the results of the tests are added together and the sum is divided by the number of tests.
Page 211 - Ibs. per square foot = 760 mm of mercury = 10° dynes per sq. cm. nearly. A Column of water 2'3 feet high corresponds to a pressure of 1 Ib. per square inch. Absolute temp., t = 0- C. + 273°'7. Eegnault's H = 606'5 + '305 9° C. = 1082 + -305 8
Page 211 - IT = 3-1416. 1 radian = 57-3 degrees. To convert common into Napierian logarithms, multiply by 2-3026. The base of the Napierian logarithms is e = 2-7183. The value of g at London = 32 '182 feet per second per second.
Page 190 - The four parts (a), (b), (c), and (d) must all be answered to get full marks : (a...

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